Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

282×

body

valid

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	5
1	33	5
2	58	5
3	101	5
4	145	5
5	178	5
6	204	5
7	264	5
8	352	5
9	441	5
10	707	5
11	906	5
12	1022	5
13	1044	5
14	1044	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- z a)))
0.0b	(* y (- z t))
10.1b	(/ (* y (- z t)) (- z a))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-r` `associate-/r*` `add-log-exp`
4×	`associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

7.0ms	(+ x (/ (* y (- z t)) (- z a)))
6.0ms	(* y (- z t))
9.0ms	(/ (* y (- z t)) (- z a))

series178.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(+ x (/ (* y (- z t)) (- z a)))
39.0ms	(* y (- z t))
65.0ms	(/ (* y (- z t)) (- z a))

simplify44.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	337	381
1	1443	342
2	5002	342

prune356.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
1.8b	(* y (/ (- z t) (- z a)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

3.0ms	(+ x (* y (/ (- z t) (- z a))))
8.0ms	(/ (- z t) (- z a))
13.0ms	(* y (/ (- z t) (- z a)))

series178.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(+ x (* y (/ (- z t) (- z a))))
41.0ms	(/ (- z t) (- z a))
64.0ms	(* y (/ (- z t) (- z a)))

simplify45.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	423	747
1	1655	704
2	5001	704

prune273.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ z (- z a)) (/ t (- z a)))
0.0b	(/ t (- z a))
0.0b	(/ z (- z a))
1.8b	(* y (- (/ z (- z a)) (/ t (- z a))))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
80×	`add-sqr-sqrt`
66×	`times-frac`
32×	`distribute-lft-out--`
30×	`add-cube-cbrt`
20×	`difference-of-squares`
18×	`associate-r`
12×	`associate-/r/`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`flip3--` `flip--`
6×	`pow1` `distribute-rgt-out--` `div-inv` `associate-/l*` `add-log-exp`
4×	`associate-*r/`
3×	`sub-neg` `associate-l`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `div-exp` `clear-num` `frac-sub` `sub-div`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 144

Calls

4 calls:

29.0ms	(- (/ z (- z a)) (/ t (- z a)))
5.0ms	(/ t (- z a))
5.0ms	(/ z (- z a))
32.0ms	(* y (- (/ z (- z a)) (/ t (- z a))))

series306.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(- (/ z (- z a)) (/ t (- z a)))
27.0ms	(/ t (- z a))
44.0ms	(/ z (- z a))
129.0ms	(* y (- (/ z (- z a)) (/ t (- z a))))

simplify51.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	429	888
1	1588	838
2	5002	838

prune367.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ t (- z a))
0.0b	(/ (- z a) z)
0.8b	(/ 1 (/ (- z a) z))
1.8b	(* y (- (/ 1 (/ (- z a) z)) (/ t (- z a))))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

168×	`times-frac`
157×	`add-sqr-sqrt`
138×	`*-un-lft-identity`
82×	`add-cube-cbrt`
30×	`difference-of-squares`
27×	`associate-/r*`
25×	`distribute-lft-out--`
21×	`add-exp-log`
17×	`associate-r`
15×	`add-cbrt-cube`
11×	`associate-/l*`
9×	`div-exp`
8×	`div-inv`
7×	`pow1`
5×	`cbrt-undiv`
4×	`add-log-exp`
3×	`flip3--` `frac-2neg` `associate-r/` `associate-l*` `clear-num` `associate-/r/` `flip--`
2×	`distribute-rgt-in` `sub-neg` `rec-exp` `distribute-lft-in` `1-exp` `associate-/l/`
1×	`pow-flip` `div-sub` `pow-prod-down` `prod-exp` `*-commutative` `frac-sub` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 214

Calls

4 calls:

6.0ms	(/ t (- z a))
6.0ms	(/ (- z a) z)
8.0ms	(/ 1 (/ (- z a) z))
66.0ms	(* y (- (/ 1 (/ (- z a) z)) (/ t (- z a))))

series234.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ t (- z a))
31.0ms	(/ (- z a) z)
45.0ms	(/ 1 (/ (- z a) z))
130.0ms	(* y (- (/ 1 (/ (- z a) z)) (/ t (- z a))))

simplify81.0ms

Algorithm

egg-herbie

Counts

226 → 226

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	702	1493
1	3267	1248
2	5002	1248

prune446.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes143.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	8
1	17	8

end0.0ms

sample527.0ms

Algorithm

intervals

Results

259.0ms	8710×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid